Q. Consider the following statements -
1. The minimum number of points of intersection of a square and a circle is 2.
2. The maximum number of points of intersection of a square and a circle is 8.
Which of the above statements is/ are correct?
1) 1 only
2) 2 only
3) Both 1 and 2
4) Neither 1 nor 2
Q. A man takes half time in rowing a certain distance downstream than upstream. What is the ratio of the speed in still water to the speed of current?
1) 1 : 2
2) 2 : 1
3) 1 : 3
4) 3 : 1
Q. How many pairs of natural numbers are there such that the difference of whose squares is 63?
1) 3
2) 4
3) 5
4) 2
Q. If 1 litre of water weighs 1 kg, then how many cubic millimeters of water will weigh 0.1 gm ?
1) 1
2) 10
3) 100
4) 1000
Q. A vessel full of water weighs 40 kg. If it is one-third filled, its weight becomes 20 kg. What is the weight of the empty vessel?
1) 10 kg
2) 15 kg
3) 20 kg
4) 25 kg
Q. A frog tries to come out of a dried well 4.5 m deep with slippery walls. Every time the frog jumps 30 cm, slides down 15 cm. What is the number of jumps required for the frog to come out of the well?
1) 28
2) 29
3) 30
4) 31
Q. How many different 5-letter words (with or without meaning) can be constructed using all the letters of the word 'DELHI' so that each word has to start with D and end with I?
1) 24
2) 18
3) 12
4) 6
Q. A bottle contains 20 liters of liquid A. 4 liters of liquid A is taken out of it and replaced by same quantity of liquid B. Again 4 liters of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture?
1) 4 : 1
2) 5 : 1
3) 16 : 9
4) 17 : 8
Q. The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?
1) 122
2) 91
3) 62
4) 49
Q. As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What was the original price of rice per kg?
1) Rs. 30
2) Rs. 40
3) Rs. 50
4) Rs. 60
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